Solve 7x − 12 = −19

The solution of 7x − 12 = −19 is x = -1.

7x - 12 = -19\ \Rightarrow\ x = -1

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The lines y = 7x − 12 and y = -19 meet at x = -1. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$7x - 12 = -19$
2
Add 12 to both sides:
$7x - 12 + 12 = -19 + 12 \ \Rightarrow\ 7x = -7$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$7\cdot(-1) - 12 = -7 - 12 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 12 = -19\ \Rightarrow\ x = -1 \]
\[ 7x - 12 = -19 \]
\[ 7x - 12 + 12 = -19 + 12 \ \Rightarrow\ 7x = -7 \]
\[ \frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1 \]
\[ 7\cdot(-1) - 12 = -7 - 12 = -19 \checkmark \]

Trying values of x in 7x − 12 = −19

x	7x − 12	Equals -19?
-3	-33	no
-2	-26	no
-1	-19	yes
0	-12	no
1	-5	no

Questions

What is x in 7x − 12 = −19?

The solution of 7x − 12 = −19 is x = -1.

How do you solve 7x − 12 = −19?

Add 12 to both sides to get 7x = -7, then divide both sides by 7 to get x = -1.

How do I check the answer?

Replace x by -1: 7(-1) − 12 = -19, which is -19.

Solve 7x − 12 = −19

How to work it out

Trying values of x in 7x − 12 = −19

Questions

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